Answer:
15 units
Step-by-step explanation:
The distance between two points can be found using the following formula:
Given points:
(-7, 5) and (2, -7)
<u>where:</u>
- x₁ = -7
- x₂ = 2
- y₁ = 5
- y₂ = -7
Substitute these points into the formula and simplify:
![\sf d=\sqrt{(2-(-7))^2+((-7)-5)^2} \ \textsf{[simplify the radicand]}\\\\ d=\sqrt{(2+7)^2+(-12)^2} \ \textsf{[simplify]}\\\\d=\sqrt{(9)^2+(-12)^2} \ \textsf{[evaluate the power]}\\\\d=\sqrt{81+144} \ \textsf{[add]}\\\\d=\sqrt{225}\ \textsf{[simplify]}\\\\d=15](https://tex.z-dn.net/?f=%5Csf%20d%3D%5Csqrt%7B%282-%28-7%29%29%5E2%2B%28%28-7%29-5%29%5E2%7D%20%5C%20%5Ctextsf%7B%5Bsimplify%20the%20radicand%5D%7D%5C%5C%5C%5C%20d%3D%5Csqrt%7B%282%2B7%29%5E2%2B%28-12%29%5E2%7D%20%5C%20%5Ctextsf%7B%5Bsimplify%5D%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B%289%29%5E2%2B%28-12%29%5E2%7D%20%5C%20%5Ctextsf%7B%5Bevaluate%20the%20power%5D%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B81%2B144%7D%20%5C%20%5Ctextsf%7B%5Badd%5D%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B225%7D%5C%20%5Ctextsf%7B%5Bsimplify%5D%7D%5C%5C%5C%5Cd%3D15)
The distance between the two points is 15 units.
Learn more here:
brainly.com/question/27708708
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Answer:
Answers are below
Step-by-step explanation:
The rise of the line is -5 units. The run is 4 units. The slope of the line is -5/4.
If these answers are correct, please make me Brainliest!
<span>6 pounds of strawberries for x pounds and 4 pounds of apples for y pounds. = $18.90.
6x + 4y = 18.90
Then, you add 3 more pounds of each fruit which equals $10.17.
3x + 3y = 10.17
Then you multiply by -2 which is (-6x) - 6y = -20.34. After that, you add that (read carefully) you would do this. (-6x) + 6x - 6y + 4y = -20.34 + 28.90.
-2y = -1.44 divided by -2.
Y = -1.44/-2
Y = $0.72 per pound of apples.</span><span>Now, plus in the value of Y in equation 2.
3x + 3y = 10.17
3x + 3 * 0.72 = 10.17.
3x + 2.16 = 10.17
-2.16
3x = 10.17 - 2.16
3x = 8.06 /3
Int total, X = $2.68 per pound of strawberry. Hope this helps just read it carefully. </span>
Answer:
x = <u><em>8</em></u>
The missing measures are <em><u>85</u></em> degrees
Step-by-step explanation:
Since 9x + 13 and 11x - 3 are on opposite sides, they are equal, so
9x + 13 = 11x - 3
Subtract 13 from both sides:
9x = 11x - 16
Subtract 11x from both sides:
-2x = -16
Divide both sides by -2:
x = 8
The angle measures are
9(8) + 13 = 72 + 13 = 85
11(8) - 3 = 88 - 3 = 85
